9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury of 12 people be selected?

A city soccer league has 8 teams.  In how many ways could the league assign first, second, and third-place trophies at the end of the season?

A. How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men?   B. Andersen Research Company decides to test-market a product in 6 areas. How many different ways can 3 areas be selected in a certain order for the first test?

A research team of 7 members must be formed from a group of 10 teachers consisting of 3 senior faculty, 4 junior faculty and 3 rookie faculty members. a. In how many ways can the selection be done if the team must include at least 1 senior faculty member? b. In how many ways can the selection be done if the team must include 2 seniors and at least 1 rookie faculty member?